Algebra and Trigonometry (6th Edition)
Verified Answer ✓
Verified Answer ✓
; Isolate on one side of the second equation of ... more
Verified Answer ✓
; Multiply the second equation by 2. ; Subtract ... more
Verified Answer ✓
; Rewrite both equations in the given system in ... more
Verified Answer ✓
; The given system of equations will be solved by... more
Verified Answer ✓
; The first equation of the given system is ... more
Verified Answer ✓
Verified Answer ✓
100 ounces of solution60 ounces of solution ; ... more
Verified Answer ✓
Satisfies both equations in the given system ; ... more
Verified Answer ✓
The point of intersection of the two lines ; A ... more
Verified Answer ✓
; Substitute the value of into the second ... more
Verified Answer ✓
; The coefficients of the variable in the first ... more
Verified Answer ✓
; Multiply the first equation by 2.Multiply the ... more
Verified Answer ✓
; Since is a false statement, then the given ... more
Verified Answer ✓
or ; Since is a true statement, the given system ... more
Verified Answer ✓
Revenue ; The revenue function, , gives the amount... more
Verified Answer ✓
Break-even point ; If units of the product sold ... more
Verified Answer ✓
The ordered pair is a solution of the system. ; ... more
Verified Answer ✓
The ordered pair is a solution of the system. ; ... more
Verified Answer ✓
The ordered pair is not a solution of the system... more
Verified Answer ✓
The ordered pair is not a solution of the system... more
Verified Answer ✓
; The second equation already expresses in terms... more
Verified Answer ✓
; The second equation already expresses in terms... more
Verified Answer ✓
; The second equation already expresses in terms... more
Verified Answer ✓
; The second equation already expresses in terms... more
Verified Answer ✓
; The first equation already expresses in terms ... more
Verified Answer ✓
; The first equation already expresses in terms ... more
Verified Answer ✓
; For the second equation of the given system, ... more
Verified Answer ✓
; For the second equation of the given system, ... more
Verified Answer ✓
; Given the second equation of the system:... more
Verified Answer ✓
; Given the second equation of the system:... more
Verified Answer ✓
; Rewrite both equations in the given system in ... more
Verified Answer ✓
; Rewrite both equations in the given system in ... more
Verified Answer ✓
; The first equation already expresses in terms ... more
Verified Answer ✓
; The first equation already expresses in terms ... more
Verified Answer ✓
; Add the two equations. ; Divide both sides of ... more
Verified Answer ✓
; Add the two equations. ; Divide both sides of ... more
Verified Answer ✓
; Add the two equations. ; Divide both sides of ... more
Verified Answer ✓
; Add the two equations. ; Divide both sides of ... more
Verified Answer ✓
; Multiply both sides of the first equation by 4... more
Verified Answer ✓
; Multiply both sides of the second equation by 7... more
Verified Answer ✓
; Multiply both sides of the second equation by –... more
Verified Answer ✓
; Multiply both sides of the first equation by... more
Verified Answer ✓
; Multiply both sides of the first equation by , ... more
Verified Answer ✓
; Multiply both sides of the first equation by 5... more
Verified Answer ✓
; Rewrite each equation in the form . ; Multiply ... more
Verified Answer ✓
; Rewrite each equation in the form . ; Multiply ... more
Verified Answer ✓
; Substitute the value of from the first ... more
Verified Answer ✓
; Substitute the value of from the second ... more
Verified Answer ✓
; Substitute the value of from the first ... more
Verified Answer ✓
; Substitute the value of from the second ... more
Verified Answer ✓
; Multiply both sides of the second equation by 2... more
Verified Answer ✓
; Multiply both sides of the second equation by 5... more
Verified Answer ✓
; Multiply both sides of the first equation by... more
Verified Answer ✓
; Multiply both sides of the second equation by... more
Verified Answer ✓
; Multiply both sides of the first equation by... more
Verified Answer ✓
; Multiply both sides of the first equation by... more
Verified Answer ✓
; Rewrite each equation in the form . ; Multiply ... more
Verified Answer ✓
; Rewrite each equation in the form . ; Multiply ... more
Verified Answer ✓
; ; and ; Rewrite the mathematical sentences into... more
Verified Answer ✓
; ; and ; Rewrite the mathematical sentences into... more
Verified Answer ✓
; ; and ; Rewrite the mathematical sentences into... more
Verified Answer ✓
; ; and ; Rewrite the mathematical sentences into... more
Verified Answer ✓
; To eliminate the denominator, multiply both ... more
Verified Answer ✓
; To eliminate the denominator, multiply both ... more
Verified Answer ✓
; Multiply both sides of the second equation by... more
Verified Answer ✓
; Multiply both sides of the first equation by , ... more
Verified Answer ✓
; ; Write an equation by substituting 11 for the ... more
Verified Answer ✓
; ; Write an equation by substituting 23 for the ... more
Verified Answer ✓
; ; Determine the linear equations which pass ... more
Verified Answer ✓
; ; Determine the linear equations which did not ... more
Verified Answer ✓
; Substitute for and . ; ; Multiply both ... more
Verified Answer ✓
; From the graph, determine the values of such ... more
Verified Answer ✓
; there is a loss of when 200 devices are made ... more
Verified Answer ✓
; there is a loss of when 300 devices are made ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
are engaged in online gaming at least once per day... more
Verified Answer ✓
sleeps from 5 to 7 hourssleeps from 9 to 11 hours... more
Verified Answer ✓
6 ounces ; Let and be the weight (in ounces) of... more
Verified Answer ✓
160 ounces ; Let and be the weight (in ounces) ... more
Verified Answer ✓
600 learners from NC400 learners from SC ; Let ... more
Verified Answer ✓
750 learners from NC450 learners from SC ; Let ... more
Verified Answer ✓
50 rooms with kitchenettes150 non-kitchenette ... more
Verified Answer ✓
6 two-seater dining tables11 four-seater dining ... more
Verified Answer ✓
speed in calm water: 6 mphcurrent’s speed: 2 mph... more
Verified Answer ✓
rate in tranquil air: 180 mphwind’s speed: 20 mph... more
Verified Answer ✓
; The sum of the measures of the three interior ... more
Verified Answer ✓
; The sum of the degree measures of the three ... more
Verified Answer ✓
A set of two linear equations, usually of the form... more
Verified Answer ✓
Any ordered pair that satisfies both equations in... more
Verified Answer ✓
Solve either equation for one of the variables in ... more
Verified Answer ✓
Start by multiplying either one or both of the ... more
Verified Answer ✓
When the coefficients of either variable ( or ) ... more
Verified Answer ✓
A system of equations has infinite number of ... more
Verified Answer ✓
A system of linear equations has no solution, if ... more
Verified Answer ✓
The break-even point is the point where the ... more
Verified Answer ✓
E5 ; E6 ; E7 ; E8 ; E11 ; Use a graphing utility ... more
Verified Answer ✓
The statement makes sense. Fractions lie between ... more
Verified Answer ✓
The statement makes sense. Linear equations are ... more
Verified Answer ✓
The statement does not make sense. Systems of ... more
Verified Answer ✓
The statement makes sense. The values of and can... more
Verified Answer ✓
; Consider the linear system. In the second ... more
Verified Answer ✓
; Solve the system using the addition method.... more
Verified Answer ✓
The liar twin gave the problem. ; Let and be ... more
Verified Answer ✓
katex in solution acts like image, cannot be ... more
Verified Answer ✓
Yes. 8 six-sided and 4 four-sided formations can ... more
Verified Answer ✓
; The given function is a natural logarithmic ... more
Verified Answer ✓
If the vehicle is 12 feet wide, its edges ... more
Verified Answer ✓
; Condense the logarithm by applying the product ... more
Verified Answer ✓
Amplitude: 2Period: Phase shift: ; To graph a ... more
Verified Answer ✓
is a solution of the equation. ; Substituting... more
Verified Answer ✓
; Multiply the second equation by 2. ; Add the ... more
Verified Answer ✓
; Substituting and in the given equation yields... more
Verified Answer ✓
Substitute the ordered triple in the given ... more
Verified Answer ✓
; Add equation 1 and equation 2 to get an ... more
Verified Answer ✓
; Multiply equation 2 by 2, and subtract equation... more
Verified Answer ✓
; The graph must pass through the given points so... more
Verified Answer ✓
triple ; The triple is a set of three real numbers... more
Verified Answer ✓
-2-4 ; Multiply equation 1 by -2, so that on ... more
Verified Answer ✓
add equation 1 and 3 ; The term is missing from ... more
Verified Answer ✓
Yes ; The given triple is solution of the system ... more
Verified Answer ✓
Yes ; The given triple is solution of the system ... more
Verified Answer ✓
Yes ; The given triple is solution of the system ... more
Verified Answer ✓
Yes. ; The given triple is solution of the system ... more
Verified Answer ✓
; Multiply equation 1 by -1, and add it to ... more
Verified Answer ✓
; Multiply equation 1 by 3, and add it to ... more
Verified Answer ✓
; Multiply equation 1 by 2, and add it to the ... more
Verified Answer ✓
; Add equation 1 and equation 2 to get an ... more
Verified Answer ✓
; Multiply equation 1 by 2 and equation 2 by -3, ... more
Verified Answer ✓
; Multiply equation 1 by 2 and equation 2 by -3, ... more
Verified Answer ✓
; Multiply equation 2 by 2, and add it to the ... more
Verified Answer ✓
; Multiply equation 3 by 2, and add it to the ... more
Verified Answer ✓
; Add equation 2 and equation 3 to get an ... more
Verified Answer ✓
; Multiply equation 1 by -3, and add it to the ... more
Verified Answer ✓
; Multiply equation 2 by 3, and add it to the ... more
Verified Answer ✓
; Multiply equation 1 by -1, and add it to the ... more
Verified Answer ✓
; Simplify each of the 3 given equations in the ... more
Verified Answer ✓
; Simplify each of the 3 given equations in the ... more
Verified Answer ✓
; The graph must pass through the given points so... more
Verified Answer ✓
; The graph must pass through the given points so... more
Verified Answer ✓
; The graph must pass through the given points so... more
Verified Answer ✓
; The graph must pass through the given points so... more
Verified Answer ✓
; TLet the three numbers be and . Form three ... more
Verified Answer ✓
; Let the three numbers be and .Form three ... more
Verified Answer ✓
, and ; Convert the given equations to standard ... more
Verified Answer ✓
; Convert the given equations to standard form by... more
Verified Answer ✓
; Use the points and to find the three ... more
Verified Answer ✓
; Use the points and to find the three ... more
Verified Answer ✓
; Add equation 1 and equation 2 to get an ... more
Verified Answer ✓
; Add equation 1 and equation 3 to get an ... more
Verified Answer ✓
. ; Construct the equations from the given ... more
Verified Answer ✓
; Construct the equations from the given ... more
Verified Answer ✓
; Let us assume that a gallon of Product M costs... more
Verified Answer ✓
; Let us assume that a gallon of Product M costs... more
Verified Answer ✓
; Let the number of tickets of each type be , and... more
Verified Answer ✓
; Let the packages of Product B of each type be... more
Verified Answer ✓
; Let the amount invested at each rate be , and... more
Verified Answer ✓
; Let the amount invested at each rate be , and... more
Verified Answer ✓
; The sum of the interior angles of a triangle is... more
Verified Answer ✓
; A linear equation is one in which the power of ... more
Verified Answer ✓
The ordered triple must satisfy the equations such... more
Verified Answer ✓
Use elimination, addition, and multiplication to ... more
Verified Answer ✓
Use a system of linear equations in three unknowns... more
Verified Answer ✓
Yes 5.2.5. 5.2.7. 5.2.9. 5.2.11. 5.2.13. ; A ... more
Verified Answer ✓
For Exercise 19 ; For Exercise 20 ; For Exercise... more
Verified Answer ✓
The statement doesn't make sense. ; The value of ... more
Verified Answer ✓
The statement does not make sense. ; The system of... more
Verified Answer ✓
Yes, the statement does make sense. ; The equation... more
Verified Answer ✓
The statement does make sense. ; The population ... more
Verified Answer ✓
The system of given equations can be solved by ... more
Verified Answer ✓
triangles, rectangles, pentagons. ; Let and, ... more
Verified Answer ✓
line graph: curve graph: ; Derive a function for ... more
Verified Answer ✓
; Find the Lowest Common Multiple (L.C.M) on both... more
Verified Answer ✓
; Arrange the equation into the form of . ; Here... more
Verified Answer ✓
; Let be an angle within the interval whose sine ... more
Verified Answer ✓
; Find the Least Common Denominator (L.C.D.) of ... more
Verified Answer ✓
; Find the Least Common Denominator (L.C.D.) of ... more
Verified Answer ✓
; Multiply equation 1 by 2, and add it to ... more
Verified Answer ✓
; The denominator consists of two linear factors ... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear and a ... more
Verified Answer ✓
; The denominator is of the form of repeated ... more
Verified Answer ✓
Correct ; The denominator consists of product of ... more
Verified Answer ✓
Incorrect ; The decomposition for the repeated ... more
Verified Answer ✓
Incorrect ; is a quadratic factor that can't be ... more
Verified Answer ✓
Correct ; The denominator is a repeated quadratic ... more
Verified Answer ✓
; The denominator is the product of two linear ... more
Verified Answer ✓
; The denominator is the product of two linear ... more
Verified Answer ✓
; The denominator consists of a linear factor ... more
Verified Answer ✓
; The denominator consists of a linear factor ... more
Verified Answer ✓
; There are two factors in the denominator. is a... more
Verified Answer ✓
; There are two factors in the denominator. is a... more
Verified Answer ✓
; The denominator has a quadratic factor raised ... more
Verified Answer ✓
; The denominator has a quadratic factor raised ... more
Verified Answer ✓
; The denominator consists of two linear factors ... more
Verified Answer ✓
; The denominator consists of two linear factors ... more
Verified Answer ✓
; The denominator consists of two linear factors ... more
Verified Answer ✓
; The denominator consists of two linear factors ... more
Verified Answer ✓
; The denominator consists of a single quadratic ... more
Verified Answer ✓
; The denominator consists of a single quadratic ... more
Verified Answer ✓
; The denominator consists of a single quadratic ... more
Verified Answer ✓
; The denominator consists of a single quadratic ... more
Verified Answer ✓
; The denominator consists of three linear ... more
Verified Answer ✓
; The denominator consists of three linear ... more
Verified Answer ✓
; Simplify the denominator and write it in the ... more
Verified Answer ✓
; Simplify the denominator and write it in the ... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of two repeated linear... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a linear factor and... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; The denominator consists of a repeated linear ... more
Verified Answer ✓
; Factor the denominator. The denominator ... more
Verified Answer ✓
; Factor the denominator. The denominator ... more
Verified Answer ✓
; The denominator is a repeated quadratic factor... more
Verified Answer ✓
; The denominator is a repeated quadratic factor... more
Verified Answer ✓
; The denominator is a repeated quadratic factor.... more
Verified Answer ✓
; The denominator is a repeated quadratic factor... more
Verified Answer ✓
; Factor the denominator using the identity. The ... more
Verified Answer ✓
; Factor the denominator using the identity .The ... more
Verified Answer ✓
; The given fraction is an improper fraction. ... more
Verified Answer ✓
; The given fraction is an improper fraction. ... more
Verified Answer ✓
; The given fraction is an improper fraction. ... more
Verified Answer ✓
; The given fraction is an improper fraction. ... more
Verified Answer ✓
; Factor the denominator of the given fraction... more
Verified Answer ✓
; Factor the denominator of the given fraction... more
Verified Answer ✓
; The denominator is a repeated linear factor. ... more
Verified Answer ✓
; Factor the denominator. ; The denominator now ... more
Verified Answer ✓
; The denominator consists of two linear factors... more
Verified Answer ✓
; The denominator consists of two linear factors... more
Verified Answer ✓
The partial fraction decomposition is the breaking... more
Verified Answer ✓
The partial fraction decomposition of distinct ... more
Verified Answer ✓
The partial fraction decomposition of repeated ... more
Verified Answer ✓
The partial fraction decomposition of the ... more
Verified Answer ✓
The partial fraction decomposition of repeated ... more
Verified Answer ✓
The verification of partial fraction decomposition... more
Verified Answer ✓
The decompositions are verified with the rational ... more
Verified Answer ✓
The statement doesn’t make sense because a single ... more
Verified Answer ✓
The statement doesn’t make sense because the ... more
Verified Answer ✓
The statement makes sense since the linear factor ... more
Verified Answer ✓
The statement doesn’t make sense as writing down ... more
Verified Answer ✓
The denominator with a cubic factor raised to ... more
Verified Answer ✓
; Factor the denominator of the given fraction... more
Verified Answer ✓
; Use the fact that and rewrite the given ... more
Verified Answer ✓
Yes ; Subtract on both sides to get the equation ... more
Verified Answer ✓
Verified Answer ✓
; Solve for using the fact that the sum of the ... more
Verified Answer ✓
; Let the given equations be equation 1 and ... more
Verified Answer ✓
; Let the given equations be equation 1 and ... more
Verified Answer ✓
From the graph, the points of intersection are ... more
Verified Answer ✓
; From equation two, solve for in terms of .Add... more
Verified Answer ✓
; From equation one, solve for in terms of . ... more
Verified Answer ✓
; Choose a variable to eliminate. Multiply an ... more
Verified Answer ✓
; Subtract from both sides. ; Add the equations ... more
Verified Answer ✓
7 feet by 3 feet ; Let be the length and the ... more
Verified Answer ✓
Nonlinear equation ; A linear equation has a ... more
Verified Answer ✓
; Find the values of to obtain the solution set ... more
Verified Answer ✓
0355HP ; To eliminate a variable by addition, its ... more
Verified Answer ✓
; Find the values of by taking the square root ... more
Verified Answer ✓
; To eliminate a variable by addition, its ... more
Verified Answer ✓
; Solve for in terms of by dividing both sides ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation two, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; From equation one, solve for in terms of . ; ... more
Verified Answer ✓
; Add the equations to eliminate . ; Solve the ... more
Verified Answer ✓
; Add the equations to eliminate . ; Solve the ... more
Verified Answer ✓
; Eliminate . Multiply equation two by 4, then ... more
Verified Answer ✓
; Eliminate . Multiply equation two by , then add... more
Verified Answer ✓
; Write the equations in the form . ; Eliminate... more
Verified Answer ✓
; Write the equations in the form . ; Eliminate... more
Verified Answer ✓
; Write the equations in the form . ; Eliminate... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Align similar terms. ; Obtain an equation in ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ; ... more
Verified Answer ✓
; From equation 2, solve for in terms of . Add ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ; ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ; ... more
Verified Answer ✓
; From equation 1, solve for in terms of . ; ... more
Verified Answer ✓
4 and 6 ; Write the equations. ; Solve the system ... more
Verified Answer ✓
8 and 12 ; Write the equations. ; Solve the system... more
Verified Answer ✓
; Write the equations. ; Obtain an equation in ... more
Verified Answer ✓
; Write the equations. ; Obtain an equation in ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
Graph and .Press Y=.Input into Y1 and into Y2.... more
Verified Answer ✓
; The solution of the system is , which is the ... more
Verified Answer ✓
; To find the intersection of the two space ... more
Verified Answer ✓
; Find the intersection of the two equations. ... more
Verified Answer ✓
11 feet by 7 feet ; Let be the length and the ... more
Verified Answer ✓
12 feet by 8 feet ; Let be the length and the ... more
Verified Answer ✓
8 inches by 6 inches ; Let be the length and be ... more
Verified Answer ✓
12 feet by 9 feet ; Let be the length and be the... more
Verified Answer ✓
5 meters; 2 meters ; Let be the side length of ... more
Verified Answer ✓
14 feet by 8 feet ; Let be the length and be ... more
Verified Answer ✓
A nonlinear system is a system that involves an ... more
Verified Answer ✓
From one equation, solve for one variable in terms... more
Verified Answer ✓
Align similar terms.Make the coefficients of the ... more
Verified Answer ✓
5.4.1. ; 5.4.3. ; 5.4.5. ; 5.4.7. ; 5.4.9. ; 5.4.1... more
Verified Answer ✓
; Graph and .Press Y=.Input into Y1 and into ... more
Verified Answer ✓
To eliminate a variable in a linear system or a ... more
Verified Answer ✓
The statement does make sense. ; Planet E ... more
Verified Answer ✓
The statement makes sense. ; The graph of both ... more
Verified Answer ✓
The statement does not make sense. ; A graphical ... more
Verified Answer ✓
False; two real-ordered pair solutions. ; The ... more
Verified Answer ✓
True. ; It is possible for a circle, which is ... more
Verified Answer ✓
The statement is false. A system of two equations ... more
Verified Answer ✓
This statement is false. A system of two ... more
Verified Answer ✓
18 sq. units ; Using the first equation, isolate ... more
Verified Answer ✓
; ; Write equations using the Pythagorean theorem... more
Verified Answer ✓
; Rewrite each equation in exponential form... more
Verified Answer ✓
; Rewrite each equation in exponential form... more
Verified Answer ✓
; Determine the possible rational roots. ; ... more
Verified Answer ✓
; Let and be positive real numbers. Use the ... more
Verified Answer ✓
Let be the integers from to 3. Substitute each ... more
Verified Answer ✓
Substitute into . ; Let be the integers from to... more
Verified Answer ✓
Substitute into . ; Let be the integers from to... more
Verified Answer ✓
; Substitute the value of from the first ... more
Verified Answer ✓
; Multiply both sides of the first equation by 2 ... more
Verified Answer ✓
; To eliminate the denominators, multiply each ... more
Verified Answer ✓
; ; Substitute the value of from the first ... more
Verified Answer ✓
; To eliminate the terms with , multiply both ... more
Verified Answer ✓
; To eliminate the denominator, multiply both ... more
Verified Answer ✓
; To obtain a fourth equation, multiply the first... more
Verified Answer ✓
; To obtain a fourth equation, multiply the ... more
Verified Answer ✓
; Isolate the variable by subtracting and ... more
Verified Answer ✓
; Multiply both sides of the second equation by 2... more
Verified Answer ✓
; Substitute the value of from the first ... more
Verified Answer ✓
; Isolate the value of by adding to both sides ... more
Verified Answer ✓
; Rewrite the equation using partial fractions ... more
Verified Answer ✓
; Factor the denominator. Then, rewrite the ... more
Verified Answer ✓
; Rewrite the equation using partial fractions ... more
Verified Answer ✓
; Rewrite the equation using partial fractions ... more
Verified Answer ✓
Verified Answer ✓
gallons; gallons ; Equate the sum of mixture and... more
Verified Answer ✓
; Equate the sum of , , and to 180. Note that ... more
Verified Answer ✓
; Write three equations by substituting the value... more
Verified Answer ✓
, ; The sum of the two lengths, , and two widths... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Any point that is a solution to all the ... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The solution is the shaded region common to both ... more
Verified Answer ✓
The solution is the shaded region common to all ... more
Verified Answer ✓
solution; ; ; ; Any ordered pair that results in ... more
Verified Answer ✓
Graph ; A linear inequality has infinite solutions... more
Verified Answer ✓
half-plane ; When a linear inequality is graphed, ... more
Verified Answer ✓
The graph will not include the line as the line ... more
Verified Answer ✓
To find the solutions to a linear inequality, the ... more
Verified Answer ✓
To find the solutions to a linear inequality the ... more
Verified Answer ✓
; The equation corresponding to the inequality ... more
Verified Answer ✓
; The system is comprised of two inequalities and... more
Verified Answer ✓
The intersection point of the two inequalities ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The shaded area is the region of solution for the ... more
Verified Answer ✓
The shaded area is the region of solution for the ... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
The overlapping area is the region of solution for... more
Verified Answer ✓
; Replace the inequality symbol with the equality... more
Verified Answer ✓
; Replace the inequality symbol with the equality... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequality symbol with the equality ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs... more
Verified Answer ✓
Replace the inequalities with equal signs... more
Verified Answer ✓
Replace the inequalities with equal signs... more
Verified Answer ✓
Replace the inequalities with equal signs. Note ... more
Verified Answer ✓
; Rewrite the mathematical sentence into a ... more
Verified Answer ✓
; Rewrite the mathematical sentence into a ... more
Verified Answer ✓
; ; Rewrite the mathematical sentences into a ... more
Verified Answer ✓
; ; Rewrite the mathematical sentences into a ... more
Verified Answer ✓
; ; Rewrite the mathematical sentences into a ... more
Verified Answer ✓
; ; Rewrite the mathematical sentences into a ... more
Verified Answer ✓
; ; Rewrite the inequalities by eliminating the ... more
Verified Answer ✓
; ; Rewrite the inequalities by eliminating the ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
Replace the inequalities with equal signs. ; ; ... more
Verified Answer ✓
There is no solution. ; Replace the inequalities ... more
Verified Answer ✓
There is no solution. ; Replace the inequalities ... more
Verified Answer ✓
There are infinitely many solutions. ; Replace the... more
Verified Answer ✓
There are infinitely many solutions. ; Replace the... more
Verified Answer ✓
; is true; is true. ; Determine the coordinates ... more
Verified Answer ✓
; is true; is true. ; Determine the coordinates ... more
Verified Answer ✓
No. ; Convert 6 feet into inches. Note that 1 foot... more
Verified Answer ✓
No. ; Convert 5 feet into inches. Note that 1 foot... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
The solution set is the intersection of , , , and... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
A linear inequality in two variables can be ... more
Verified Answer ✓
When the -coordinate is substituted for and the -... more
Verified Answer ✓
The set of all points on one side of a line. ; ... more
Verified Answer ✓
A solid line indicates the points on the line are ... more
Verified Answer ✓
A dashed line indicates the points on the line are... more
Verified Answer ✓
For both solutions, the line divides the ... more
Verified Answer ✓
A system of linear inequalities is two or more ... more
Verified Answer ✓
An ordered pair that satisfies all of the linear ... more
Verified Answer ✓
Graph all of the inequalities in the system. The ... more
Verified Answer ✓
If a system of inequalities has no solution, there... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Graph the function with a solid line.The line is ... more
Verified Answer ✓
Not all graphing calculators are able to plot ... more
Verified Answer ✓
Using a graphing calculator or other tool, graph ... more
Verified Answer ✓
; Using a graphing calculator or other graphing ... more
Verified Answer ✓
This does not make sense. While is sometimes easy... more
Verified Answer ✓
This does not make sense. When graphing ... more
Verified Answer ✓
This makes sense. Medically, there is no one ... more
Verified Answer ✓
This makes sense. The inequality is a vertical ... more
Verified Answer ✓
; Consider the vertical line. Vertical lines have... more
Verified Answer ✓
; Consider the red line. The slope of this line ... more
Verified Answer ✓
; Consider the parabola.The vertex of the ... more
Verified Answer ✓
or ; Extending the lines show this is not an ... more
Verified Answer ✓
; Since a single inequality divides the ... more
Verified Answer ✓
Sketch two linear functions with the same -... more
Verified Answer ✓
7 ; Compute .Since , use the top expression. ; ... more
Verified Answer ✓
Solve the inequality.Due to the original form, .... more
Verified Answer ✓
Verified Answer ✓
Combining the two fractional terms in the left-... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; Write an expression representing the total ... more
Verified Answer ✓
; The profits from each are the product of the ... more
Verified Answer ✓
; The total number of items being manufactured ... more
Verified Answer ✓
Objective function: ; Inclusive indicates that ... more
Verified Answer ✓
at ; To maximize , first graph all of the ... more
Verified Answer ✓
30 at ; To maximize , first graph all of the ... more
Verified Answer ✓
linear programming ; Linear programming is a ... more
Verified Answer ✓
objective ; Objective functions are referred to as... more
Verified Answer ✓
constraints ; The equations which restrict the ... more
Verified Answer ✓
17 at , 70 at , 65 at , and 58 at Maximum of 70 ... more
Verified Answer ✓
13 at , 32 at , 39 at , 36 at , and 29 at Maximum... more
Verified Answer ✓
0 at , 400 at , 610 at , and 320 at . Maximum of ... more
Verified Answer ✓
0 at , 405 at , 300 at , and 90 at . Maximum of ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
40 of the first model, 0 of the second model ; Set... more
Verified Answer ✓
4 ounces of the first food and 2 ounces of the ... more
Verified Answer ✓
300 boxes of food and 200 boxes of clothing. ; Set... more
Verified Answer ✓
20 planes from country A and 24 planes from ... more
Verified Answer ✓
100 parents and 50 students. ; Set up a system of ... more
Verified Answer ✓
4 computation problems and 8 written problems, 104... more
Verified Answer ✓
10 planes from company B and 42 planes from ... more
Verified Answer ✓
Problems which aim to maximize or minimize a ... more
Verified Answer ✓
A linear function of two or more variables whose ... more
Verified Answer ✓
A constraint is represented by a linear inequality... more
Verified Answer ✓
Write or identify the objective function.Create a ... more
Verified Answer ✓
Buying a new wardrobe for work. There would be a ... more
Verified Answer ✓
The objective function is not graphed as it ... more
Verified Answer ✓
The vertices represent the locations of possible ... more
Verified Answer ✓
The graphs of linear inequalities are used to ... more
Verified Answer ✓
Maximizing profits is often the goal of business ... more
Verified Answer ✓
5000 should be invested in bonds and 5000 should ... more
Verified Answer ✓
At the points and the objective function has a ... more
Verified Answer ✓
Field: FarmingApplication: Linear programming can ... more
Verified Answer ✓
; Move all terms involving to the left hand side... more
Verified Answer ✓
; Square both sides of the equation. ; Subtract ... more
Verified Answer ✓
; Compute . ; Compute . ; more
Verified Answer ✓
Verified Answer ✓
.With one variable already solved, it is a simple ... more
Verified Answer ✓
With one variable already solved, it is a simple ... more
Verified Answer ✓
; Multiple the terms in the first row by -4. ; ... more
Verified Answer ✓
; Obtain an equation in one variable by ... more
Verified Answer ✓
; From equation 1, solve for in terms of .... more
Verified Answer ✓
; Use addition of equations to eliminate . ... more
Verified Answer ✓
; From equation 2, solve for in terms of . ; ... more
Verified Answer ✓
; Use addition of equations to eliminate . ... more
Verified Answer ✓
Verified Answer ✓
S-N: 10 ml; S-N: 90 ml ; Let be the volume of ... more
Verified Answer ✓
Verified Answer ✓
9 feet by 5 feet ; Let be the length of the ... more
Verified Answer ✓
accommodation: /day; car: /day ; Let be the ... more
Verified Answer ✓
fruit A: 3; fruit V: 2 ; Let be the number of ... more
Verified Answer ✓
; Start by eliminating one variable. Multiply ... more
Verified Answer ✓
; Start by eliminating one variable. Multiply ... more
Verified Answer ✓
; Substitute the given ordered pairs of and ... more
Verified Answer ✓
W:124; F:111; T:71 ; Write the system of equations... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Factor the denominator, and write the fraction ... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Write the fraction as a sum of fractions with a... more
Verified Answer ✓
; Write the fraction as a sum of fractions with a... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Write the fraction as a sum of fractions with ... more
Verified Answer ✓
; Eliminate one variable using elimination by ... more
Verified Answer ✓
; Solve the system by elimination by substitution... more
Verified Answer ✓
; Solve the system by elimination by substitution... more
Verified Answer ✓
; Solve the system by elimination by addition. ... more
Verified Answer ✓
; Solve the system by elimination by substitution... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by addition... more
Verified Answer ✓
; Solve the system using elimination by addition... more
Verified Answer ✓
8 meters by 5 meters ; Let be the width and be ... more
Verified Answer ✓
; Write a system of equations satisfying the ... more
Verified Answer ✓
and or and ; Write a system of equations ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . ; The numbers satisfying the inequality ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . ; The ordered pairs satisfying the ... more
Verified Answer ✓
Graph . Graph . ; Shade the region corresponding ... more
Verified Answer ✓
Graph . Graph . ; Shade the region corresponding ... more
Verified Answer ✓
Graph . Graph . ; Shade the region corresponding ... more
Verified Answer ✓
Graph . Graph . ; Shade the region corresponding ... more
Verified Answer ✓
Graph , , and . ; Shade above the line when ... more
Verified Answer ✓
; Graph . Graph . ; Shade the region ... more
Verified Answer ✓
Graph , which is a circle with the center at and ... more
Verified Answer ✓
Graph , which is a circle with the center at and ... more
Verified Answer ✓
Graph . Graph . Graph . ; Shade above the line or ... more
Verified Answer ✓
Graph . Graph . Graph . ; Shade above the line ... more
Verified Answer ✓
Maximum value: 10Minimum value: 2 ; Solve for the ... more
Verified Answer ✓
Maximum value: 24 at ; Graph the constraints. ... more
Verified Answer ✓
Maximum value: 33 at ; Graph the constraints. ... more
Verified Answer ✓
Maximum value: 44 at ; Graph the constraints. ... more
Verified Answer ✓
Verified Answer ✓
480 units of and 240 units of ; Let be the ... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by addition... more
Verified Answer ✓
; Solve the system using elimination by addition... more
Verified Answer ✓
; Solve the system using elimination by ... more
Verified Answer ✓
; Solve the system using elimination by addition... more
Verified Answer ✓
; Write the fraction as a sum of fractions with a... more
Verified Answer ✓
Graph . Plot two points and connect them. ; The ... more
Verified Answer ✓
Since and , limit the graph to the first quadrant... more
Verified Answer ✓
Graph , which is a circle with its center at and ... more
Verified Answer ✓
Graph , which is a parabola opening downward with ... more
Verified Answer ✓
26 ; Graph the constraints. Since and , limit the... more
Verified Answer ✓
12 ounces for and 24 ounces for ; Let be the ... more
Verified Answer ✓
Verified Answer ✓
; Plug each value into the quadratic function, ... more
Verified Answer ✓
feet and feet or feet and feet ; Write an ... more
Verified Answer ✓
Brand R: 50 unitsBrand D: 100 units The highest ... more
Verified Answer ✓
D: R: ; Domain of a function refers to the set of ... more
Verified Answer ✓
and ; The zeros of a function are the value(s) of... more
Verified Answer ✓
The highest value of is 3 and it occurs when... more
Verified Answer ✓
; A function is decreasing if as increases, ... more
Verified Answer ✓
Positive ; The function value, is positive if ... more
Verified Answer ✓
; Rewrite the given notation using the definition... more
Verified Answer ✓
; As the value of gets closer to from the right... more
Verified Answer ✓
even ; Consider these three cases: A function is ... more
Verified Answer ✓
Sketch the graph of . Apply the vertical shift... more
Verified Answer ✓
Sketch the graph of . Since the horizontal stretch... more
Verified Answer ✓
; Square both sides of the equation. Use the ... more
Verified Answer ✓
or ; Rewrite the equation in general form, by ... more
Verified Answer ✓
or ; Rewrite the given inequality without absolute... more
Verified Answer ✓
or ; Make the right-hand side zero. Subtract 2 ... more
Verified Answer ✓
; List the possible rational roots of the given ... more
Verified Answer ✓
; Distribute the factor outside to remove ... more
Verified Answer ✓
; Condense the given equation using the product ... more
Verified Answer ✓
or approximately ; Rewrite the given equation into... more
Verified Answer ✓
; Express the given equation as a quadratic ... more
Verified Answer ✓
; Label each given equation. ; Solve the system ... more
Verified Answer ✓
; Label each given equation. Solve the system of ... more
Verified Answer ✓
Sketch the graph of the given function using ... more
Verified Answer ✓
Sketch the boundary line, using any preferred ... more
Verified Answer ✓
Sketch the graph of the basic function, by ... more
Verified Answer ✓
Test for the existence of symmetry. Replace each ... more
Verified Answer ✓
Sketch the graph of using any preferred method. ... more
Verified Answer ✓
Graph the boundary circle. Change the inequality ... more
Verified Answer ✓
Sketch the graph of the first given function by ... more
Verified Answer ✓
and ; Evaluate . Plug the expression of into each... more
Verified Answer ✓
; Find . Plug the expression into each variable... more
Verified Answer ✓
; Find the slope of the line. Label each given ... more
Verified Answer ✓
; Rewrite the equation of the given line in slope... more
Verified Answer ✓
at 12% and at 14% ; Use variable(s) to stand for... more
Verified Answer ✓
4 meters by 9 meters ; Translate the first ... more
Verified Answer ✓
; Write an exponential equation that models the ... more
Verified Answer ✓
Rewriting the expression on the left-hand side of ... more
Verified Answer ✓
The expression in the right-hand side of the ... more
Verified Answer ✓
; Write the equation in terms of sine and cosine... more
Verified Answer ✓
; Rewrite as ; Isolate 0 on one side of the ... more
Verified Answer ✓
92.9 ; Use the Law of Sines to solve for The Law ... more